Heavy Oil Laminar Flow in Corrugated Ducts: A Numerical Study Using the Galerkin-Based Integral Method
Valdecir Alves dos Santos Júnior,
Severino Rodrigues de Farias Neto,
Antonio Gilson Barbosa de Lima,
Igor Fernandes Gomes,
Israel Buriti Galvão,
Célia Maria Rufino Franco,
João Evangelista Franco do Carmo
Affiliations
Valdecir Alves dos Santos Júnior
Department of Physics and Civil Engineering, Center of Science, Technology and Health, State University of Paraíba, Cel. Pedro Targino Ave, 58233-000 Araruna-PB, Brazil
Severino Rodrigues de Farias Neto
Department of Chemical Engineering, Center of Science and Technology, Federal University of Campina Grande, 882 Aprígio Veloso St, 58428-830 Campina Grande-PB, Brazil
Antonio Gilson Barbosa de Lima
Department of Mechanical Engineering, Center of Science and Technology, Federal University of Campina Grande, 882 Aprígio Veloso St, 58428-830 Campina Grande-PB, Brazil
Igor Fernandes Gomes
Department of Civil Engineering, Technology Center, Federal University of Pernambuco, Acadêmico Hélio Ramos St, 50670-420 Recife-PE, Brazil
Israel Buriti Galvão
Department of Mathematics, Center of Science and Technology, State University of Paraíba, 351 Baraúnas St, 58429-500 Campina Grande-PB, Brazil
Célia Maria Rufino Franco
Department of Physics and Mathematics, Federal University of Campina Grande, 58175-000 Cuité-PB, Brazil
João Evangelista Franco do Carmo
Department of Mechanical Engineering, Federal University of Campina Grande, 58429-900 Campina Grande-PB, Brazil
Fluid flow in pipes plays an important role in different areas of academia and industry. Due to the importance of this kind of flow, several studies have involved circular cylindrical pipes. This paper aims to study fully developed internal laminar flow through a corrugated cylindrical duct, using the Galerkin-based integral method. As an application, we present a study using heavy oil with a relative density of 0.9648 (14.6 °API) and temperature-dependent viscosities ranging from 1715 to 13000 cP. Results for different fluid dynamics parameters, such as the Fanning friction factor, Reynolds number, shear stress, and pressure gradient, are presented and analyzed based on the corrugation number established for each section and aspect ratio of the pipe.
